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Finding the Fourth Proportional to 10,597.93, 14,625.32 and 5,818.32

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Solution

The fourth proportional to 10,597.93, 14,625.32 and 5,818.32 is: 8,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.93 : 14,625.32 = 5,818.32 : x
  2. Step 2: Convert to fraction form
    10,597.93/14,625.32 = 5,818.32/x
  3. Step 3: Cross multiply
    10,597.93x = 14,625.32 × 5,818.32
  4. Step 4: Simplify right side
    10,597.93x = 85,094,791.86
  5. Step 5: Solve for x
    x = 85,094,791.86/10,597.93
  6. Step 6: Final answer
    x = 8,029.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.